I had a ton of problems with plugged ducts/mastitis...always start your baby nursing on the plugged side to try to unplug...pumping never worked for me - and some don´t suggest it (since it further encourages an increase in milk supply, which is what you don´t want at that moment) - but I know some people try it and it works for them, so...???
my friend, who´s a homeopath, suggested grating raw potato and putting it all over the breast to try to drain it...but ultimately if the breast becomes red in any way, sore or if you develop fever, it has become infected...
an amazing homeopathic remedy that worked for me was Phytolacca (30 C)...3 pellets dissolved in the mouth - if nothing changes, keep doing it 3 times a day (4-6 hr. intervals) for a day or 2 - as SOON as you start to see any improvement of any of the symptoms, STOP taking it - or if it doesn´t do anything after 4 or 5 doses, then it isn´t going to work for you and you can stop anyway - drink TONS of water - and take up to 4000 mg of Vitamin C daily to help prevent/fight infection...the best way to try to clear the plugged ducts is to have your baby nurse and unplug them with the suctioning, but I have also heard sometimes they stop nursing on the plugged side because the taste of the milk becomes more salty and displeasing, so that might (and I stress "might") be why yours isn´t swallowing there...in which case I guess pumping would be necessary...
good luck! it isn´t easy sometimes, but hopefully you´ll be clear soon